Unit Circle Trigonometry Quiz

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Questions and Answers

What is the value of tan 2Ï€?

0

What is the value of tan π/6?

√3/3

What is the value of tan π/4?

1

What is the value of tan π/3?

<p>√3</p> Signup and view all the answers

What is the value of tan π/2?

<p>undefined</p> Signup and view all the answers

What is the value of tan 2Ï€/3?

<p>-√3</p> Signup and view all the answers

What is the value of tan 3Ï€/4?

<p>-1</p> Signup and view all the answers

What is the value of tan 5Ï€/6?

<p>-√3/3</p> Signup and view all the answers

What is the value of tan π?

<p>0</p> Signup and view all the answers

What is the value of tan 7Ï€/6?

<p>√3/3</p> Signup and view all the answers

What is the value of tan 5Ï€/4?

<p>1</p> Signup and view all the answers

What is the value of tan 4Ï€/3?

<p>√3</p> Signup and view all the answers

What is the value of tan 3Ï€/2?

<p>undefined</p> Signup and view all the answers

What is the value of tan 5Ï€/3?

<p>-√3</p> Signup and view all the answers

What is the value of tan 7Ï€/4?

<p>-1</p> Signup and view all the answers

What is the value of tan 11Ï€/6?

<p>-√3/3</p> Signup and view all the answers

What is the value of sin(Ï€/6)?

<p>1/2</p> Signup and view all the answers

What is the value of sin(Ï€/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of sin(Ï€/3)?

<p>√3/2</p> Signup and view all the answers

What is the value of sin(Ï€/2)?

<p>1</p> Signup and view all the answers

What is the value of sin(2Ï€/3)?

<p>√3/2</p> Signup and view all the answers

What is the value of sin(3Ï€/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of sin(5Ï€/6)?

<p>1/2</p> Signup and view all the answers

What is the value of sin(Ï€)?

<p>0</p> Signup and view all the answers

What is the value of sin(7Ï€/6)?

<p>-1/2</p> Signup and view all the answers

What is the value of sin(5Ï€/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of sin(4Ï€/3)?

<p>-√3/2</p> Signup and view all the answers

What is the value of sin(3Ï€/2)?

<p>-1</p> Signup and view all the answers

What is the value of sin(5Ï€/3)?

<p>-√3/2</p> Signup and view all the answers

What is the value of sin(7Ï€/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of sin(11Ï€/6)?

<p>-1/2</p> Signup and view all the answers

What is the value of sin(2Ï€)?

<p>0</p> Signup and view all the answers

What is the value of cos(Ï€/6)?

<p>√3/2</p> Signup and view all the answers

What is the value of cos(Ï€/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of cos(Ï€/3)?

<p>1/2</p> Signup and view all the answers

What is the value of cos(Ï€/2)?

<p>0</p> Signup and view all the answers

What is the value of cos(2Ï€/3)?

<p>-1/2</p> Signup and view all the answers

What is the value of cos(3Ï€/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of cos(5Ï€/6)?

<p>-√3/2</p> Signup and view all the answers

What is the value of cos(Ï€)?

<p>-1</p> Signup and view all the answers

What is the value of cos(7Ï€/6)?

<p>-√3/2</p> Signup and view all the answers

What is the value of cos(5Ï€/4)?

<p>-√2/2</p> Signup and view all the answers

What is the value of cos(4Ï€/3)?

<p>-1/2</p> Signup and view all the answers

What is the value of cos(3Ï€/2)?

<p>0</p> Signup and view all the answers

What is the value of cos(5Ï€/3)?

<p>1/2</p> Signup and view all the answers

What is the value of cos(7Ï€/4)?

<p>√2/2</p> Signup and view all the answers

What is the value of cos(11Ï€/6)?

<p>√3/2</p> Signup and view all the answers

What is the value of cos(2Ï€)?

<p>1</p> Signup and view all the answers

What is the value of sec(0)?

<p>1</p> Signup and view all the answers

What is the value of sec(Ï€/6)?

<p>2√3/3</p> Signup and view all the answers

What is the value of sec(Ï€/4)?

<p>√2</p> Signup and view all the answers

What is the value of sec(Ï€/3)?

<p>2</p> Signup and view all the answers

What is the value of sec(Ï€/2)?

<p>undefined</p> Signup and view all the answers

What is the value of sec(2Ï€/3)?

<p>-2</p> Signup and view all the answers

What is the value of sec(3Ï€/4)?

<p>-√2</p> Signup and view all the answers

What is the value of sec(5Ï€/6)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of sec(Ï€)?

<p>-1</p> Signup and view all the answers

What is the value of sec(7Ï€/6)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of sec(5Ï€/4)?

<p>-√2</p> Signup and view all the answers

What is the value of sec(4Ï€/3)?

<p>-2</p> Signup and view all the answers

What is the value of sec(3Ï€/2)?

<p>undefined</p> Signup and view all the answers

What is the value of sec(5Ï€/3)?

<p>2</p> Signup and view all the answers

What is the value of sec(7Ï€/4)?

<p>√2</p> Signup and view all the answers

What is the value of sec(11Ï€/6)?

<p>2√3/3</p> Signup and view all the answers

What is the value of sec(2Ï€)?

<p>1</p> Signup and view all the answers

What is the value of csc(0)?

<p>undefined</p> Signup and view all the answers

What is the value of csc(Ï€/6)?

<p>2</p> Signup and view all the answers

What is the value of csc(Ï€/4)?

<p>√2</p> Signup and view all the answers

What is the value of csc(Ï€/3)?

<p>2√3/3</p> Signup and view all the answers

What is the value of csc(Ï€/2)?

<p>1</p> Signup and view all the answers

What is the value of csc(2Ï€/3)?

<p>2√3/3</p> Signup and view all the answers

What is the value of csc(3Ï€/4)?

<p>√2</p> Signup and view all the answers

What is the value of csc(5Ï€/6)?

<p>2</p> Signup and view all the answers

What is the value of csc(Ï€)?

<p>undefined</p> Signup and view all the answers

What is the value of csc(7Ï€/6)?

<p>-2</p> Signup and view all the answers

What is the value of csc(5Ï€/4)?

<p>-√2</p> Signup and view all the answers

What is the value of csc(4Ï€/3)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of csc(3Ï€/2)?

<p>-1</p> Signup and view all the answers

What is the value of csc(5Ï€/3)?

<p>-2√3/3</p> Signup and view all the answers

What is the value of csc(7Ï€/4)?

<p>-√2</p> Signup and view all the answers

What is the value of csc(11Ï€/6)?

<p>-2</p> Signup and view all the answers

What is the value of csc(2Ï€)?

<p>undefined</p> Signup and view all the answers

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Study Notes

Tangent Values

  • tan(2Ï€) = 0
  • tan(Ï€/6) = √3/3
  • tan(Ï€/4) = 1
  • tan(Ï€/3) = √3
  • tan(Ï€/2) = undefined
  • tan(2Ï€/3) = -√3
  • tan(3Ï€/4) = -1
  • tan(5Ï€/6) = -√3/3
  • tan(Ï€) = 0
  • tan(7Ï€/6) = √3/3
  • tan(5Ï€/4) = 1
  • tan(4Ï€/3) = √3
  • tan(3Ï€/2) = undefined
  • tan(5Ï€/3) = -√3
  • tan(7Ï€/4) = -1
  • tan(11Ï€/6) = -√3/3
  • tan(2Ï€) = 0

Sine Values

  • sin(Ï€/6) = 1/2
  • sin(Ï€/4) = √2/2
  • sin(Ï€/3) = √3/2
  • sin(Ï€/2) = 1
  • sin(2Ï€/3) = √3/2
  • sin(3Ï€/4) = √2/2
  • sin(5Ï€/6) = 1/2
  • sin(Ï€) = 0
  • sin(7Ï€/6) = −1/2
  • sin(5Ï€/4) = −√2/2
  • sin(4Ï€/3) = −√3/2
  • sin(3Ï€/2) = −1
  • sin(5Ï€/3) = −√3/2
  • sin(7Ï€/4) = −√2/2
  • sin(11Ï€/6) = −1/2
  • sin(2Ï€) = 0

Cosine Values

  • cos(Ï€/6) = √3/2
  • cos(Ï€/4) = √2/2
  • cos(Ï€/3) = 1/2
  • cos(Ï€/2) = 0
  • cos(2Ï€/3) = −1/2
  • cos(3Ï€/4) = −√2/2
  • cos(5Ï€/6) = −√3/2
  • cos(Ï€) = −1
  • cos(7Ï€/6) = −√3/2
  • cos(5Ï€/4) = −√2/2
  • cos(4Ï€/3) = −1/2
  • cos(3Ï€/2) = 0
  • cos(5Ï€/3) = 1/2
  • cos(7Ï€/4) = √2/2
  • cos(11Ï€/6) = √3/2
  • cos(2Ï€) = 1

Secant Values

  • sec(0) = 1
  • sec(Ï€/6) = 2√3/3
  • sec(Ï€/4) = √2
  • sec(Ï€/3) = 2
  • sec(Ï€/2) = undefined
  • sec(2Ï€/3) = -2
  • sec(3Ï€/4) = -√2
  • sec(5Ï€/6) = -2√3/3
  • sec(Ï€) = -1
  • sec(7Ï€/6) = -2√3/3
  • sec(5Ï€/4) = -√2
  • sec(4Ï€/3) = -2
  • sec(3Ï€/2) = undefined
  • sec(5Ï€/3) = 2
  • sec(7Ï€/4) = √2
  • sec(11Ï€/6) = 2√3/3
  • sec(2Ï€) = 1

Cosecant Values

  • csc(0) = undefined
  • csc(Ï€/6) = 2
  • csc(Ï€/4) = √2
  • csc(Ï€/3) = 2√3/3
  • csc(Ï€/2) = 1
  • csc(2Ï€/3) = 2√3/3
  • csc(3Ï€/4) = √2
  • csc(5Ï€/6) = 2
  • csc(Ï€) = undefined
  • csc(7Ï€/6) = -2
  • csc(5Ï€/4) = -√2
  • csc(4Ï€/3) = -2√3/3
  • csc(3Ï€/2) = -1
  • csc(5Ï€/3) = -2√3/3
  • csc(7Ï€/4) = -√2
  • csc(11Ï€/6) = -2
  • csc(2Ï€) = undefined

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